Precalculus Examples

$\log (3 x) \cdot 3$

Step 1

Rewrite $\log (3 x)$ as $\log (3) + \log (x)$ .

$(\log (3) + \log (x)) \cdot 3$

Step 2

Apply the distributive property.

$\log (3) \cdot 3 + \log (x) \cdot 3$

Step 3

Move $3$ to the left of $\log (3)$ .

$3 \cdot \log (3) + \log (x) \cdot 3$

Step 4

Move $3$ to the left of $\log (x)$ .

$3 \cdot \log (3) + 3 \cdot \log (x)$

Step 5

Multiply $3$ by $\log (x)$ .

$3 \log (3) + 3 \log (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$